期刊
PHYSICAL REVIEW LETTERS
卷 106, 期 9, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.106.090401
关键词
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资金
- NSF [PHY-0903953, PHY-1005540]
- ONR [N00014-11-1-0082]
- ARC [CE0348250]
- Australian Research Council [CE0348250] Funding Source: Australian Research Council
- Direct For Mathematical & Physical Scien
- Division Of Physics [1005540] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [0903953] Funding Source: National Science Foundation
We derive a quantum Cramer-Rao bound (QCRB) on the error of estimating a time-changing signal. The QCRB provides a fundamental limit to the performance of general quantum sensors, such as gravitational-wave detectors, force sensors, and atomic magnetometers. We apply the QCRB to the problem of force estimation via continuous monitoring of the position of a harmonic oscillator, in which case the QCRB takes the form of a spectral uncertainty principle. The bound on the force-estimation error can be achieved by implementing quantum noise cancellation in the experimental setup and applying smoothing to the observations.
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